Final answer:
Using the average lapse rate of 6.5°C per 1000 meters, the temperature drop from Colorado Springs to the summit of Pikes Peak would be approximately 15.73°C.
Step-by-step explanation:
The question is related to how temperature changes with altitude which is a concept in Physics, specifically concerning the lapse rate in the atmosphere. The average lapse rate in the troposphere is about 6.5 degrees Celsius for every 1000 meters of altitude increase.
Given the elevation of Colorado Springs at 1,881 meters and the elevation of the top of Pikes Peak at 4,301 meters, the elevation differential is 2,420 meters. Using the average lapse rate, the expected temperature drop would be approximately 15.73 degrees Celsius (2.42 km x 6.5 C°/km = 15.73 C°).
However, since none of the provided answer choices match this calculation, it seems there might be an issue with the answer choices or a misunderstanding in the lapse rate provided.